id:A023055 - OEIS Search Results

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(Apparently) differences between adjacent perfect powers (integers of form a^b, a >= 1, b >= 2).

+0
4

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 43, 45, 47, 48, 49, 51, 53, 55, 56, 57, 59, 60, 61, 63, 65, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79, 80, 81, 83, 85, 87, 89, 92, 93, 94, 95, 97, 99, 100 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Catalan's conjecture (now a theorem) is that 1 occurs just once as a difference, between 8 and 9.`
	LINKS	`Alf van der Poorten, Remarks on the sequence of 'perfect' powers`
	CROSSREFS	`Cf. A001597, A023057.` `Sequence in context: A088451 A047595 A079298 this_sequence A047368 A037470 A020657` `Adjacent sequences: A023052 A023053 A023054 this_sequence A023056 A023057 A023058`
	KEYWORD	`nonn,hard`
	AUTHOR	`David W. Wilson (davidwwilson(AT)comcast.net)`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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